I'm looking for the best algorithm to take array A {0,1,2,3} and make order it like array B {3,1,0,2}. Any ideas?
So if you have two arrays and they hold the same data just in different order then just do this:
A = B
I suspect that is not your situation so I think we need more info.
In the example you gave (an array of numbers), there would be no point in re-ordering A, since you could just use B.
So, presumably these are arrays of objects which you want ordered by one of their properties.
Then, you will need a way to look up items in A based on the property in question (like a hashtable). Then you can iterate B (which is in the desired sequence), and operate on the corresponding element in A.
Both array's contain the same values (or nearly so) but I need to force them to be in the same order. For example, in array A the value "3045" is in index position 4 and in array B it is in index position 1. I want to reorder B so that the index positions of like values are the same as A.
If they are nearly the same then here is some pseudo code:
Make an ArrayList
Copy the contents of the smaller array to the arraylist
for each item I in the larger array
FInd I in the ArrayList
Append I to a new array
Remove I from the arraylist
What you need to do is determine the ordering of B and then apply that ordering to A. One way to accomplish this is to undo the ordering of B and keep track of what happens along the way. Then you can do the reverse to A.
Here's some sketchy C# (sorry, I haven't actually run this)...
Take a copy of B:
List<int> B2 = new List<int>(B);
Now sort it, using a sort function that records the swaps:
List<KeyValuePair<int,int>> swaps = new List<KeyValuePair<int,int>>();
B2.Sort( delegate( int x, int y ) {
if( x<y ) return -1;
if( x==y ) return 0;
// x and y must be transposed, so assume they will be:
swaps.Add( new KeyValuePair<int,int>(x,y) );
return 1;
});
Now apply the swaps, in reverse order, to A:
swaps.Reverse();
foreach( KeyValuePair<int,int> x in swaps )
{
int t = A[x.key];
A[x.key] = A[x.value];
A[x.value] = t;
}
Depending how the built-in sort algorithm works, you might need to roll your own. Something nondestructive like a merge sort should give you the correct results.
Could the issue be resolved using a Dictionary so the elements have a relationship that isn't predicated on sort order at all?